Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy

DOI10.1007/s006070170035zbMath0988.65096OpenAlexW2027457385MaRDI QIDQ5930672

Mark Ainsworth, Willy Dörfler

Publication date: 26 June 2002

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070170035

zbMATH Keywords

singular perturbationfinite element methodartificial viscosityuniform convergenceconvection-diffusion equationerror boundsboundary layerfintie difference methodfundamental systemmesh generation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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